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Finding the Fourth Proportional to 414.05, 571.21 and 274.12

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Solution

The fourth proportional to 414.05, 571.21 and 274.12 is: 378.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.05 : 571.21 = 274.12 : x
  2. Step 2: Convert to fraction form
    414.05/571.21 = 274.12/x
  3. Step 3: Cross multiply
    414.05x = 571.21 × 274.12
  4. Step 4: Simplify right side
    414.05x = 156,577.97
  5. Step 5: Solve for x
    x = 156,577.97/414.05
  6. Step 6: Final answer
    x = 378.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.